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The non-equilibrium evolution of the block entanglement entropy is investigated in the XY chain in a transverse magnetic field after the Hamiltonian parameters are suddenly changed from and to arbitrary values. Using Toeplitz matrix…

统计力学 · 物理学 2009-11-13 Maurizio Fagotti , Pasquale Calabrese

The non-equilibrium dynamics of disordered many-body quantum systems after a global quantum quench unveils important insights about the competition between interactions and disorder, yielding in particular an insightful perspective on many…

无序系统与神经网络 · 物理学 2023-03-07 Youcef Mohdeb , Javad Vahedi , Ravindra N. Bhatt , Stephan Haas , Stefan Kettemann

By means of free fermionic techniques we study the time evolution of the entanglement entropy, S(t), of a block of spins in the random transverse-field Ising chain after a sudden change of the parameters of the Hamiltonian. We consider…

统计力学 · 物理学 2012-03-13 Ferenc Igloi , Zsolt Szatmari , Yu-Cheng Lin

We study stationary states emerging after global quenches in which the time evolution is under local Hamiltonians that possess semilocal conserved operators. In particular, we study a model that is dual to quantum XY chain. We show that a…

统计力学 · 物理学 2023-11-28 Vanja Marić

R\'enyi entropies are conceptually valuable and experimentally relevant generalisations of the celebrated von Neumann entanglement entropy. After a quantum quench in a clean quantum many-body system they generically display a universal…

统计力学 · 物理学 2022-08-04 Bruno Bertini , Katja Klobas , Vincenzo Alba , Gianluca Lagnese , Pasquale Calabrese

Entanglement and entropy are key concepts standing at the foundations of quantum and statistical mechanics, respectively. In the last decade the study of quantum quenches revealed that these two concepts are intricately intertwined.…

强关联电子 · 物理学 2017-08-21 Vincenzo Alba , Pasquale Calabrese

Entanglement exhibits universal behavior near the ground-state critical point where correlations are long-ranged and the thermodynamic entropy is vanishing. On the other hand, a quantum quench imparts extensive energy and results in a…

量子气体 · 物理学 2022-02-11 Sanku Paul , Paraj Titum , Mohammad F. Maghrebi

After a brief introduction to the concept of entanglement in quantum systems, I apply these ideas to many-body systems and show that the von Neumann entropy is an effective way of characterising the entanglement between the degrees of…

统计力学 · 物理学 2009-11-13 John Cardy

We consider time evolution in models close to integrable points with hidden symmetries that generate infinitely many local conservation laws that do not commute with one another. The system is expected to (locally) relax to a thermal…

统计力学 · 物理学 2015-07-14 Bruno Bertini , Maurizio Fagotti

We investigate the dynamics of quantum entanglement after a global quench and uncover a qualitative difference between the behavior of the von Neumann entropy and higher R\'enyi entropies. We argue that the latter generically grow…

强关联电子 · 物理学 2019-07-30 Tibor Rakovszky , Frank Pollmann , C. W. von Keyserlingk

We study the evolution of entanglement after a global quench in a one-dimensional quantum system with a localized impurity. For systems described by a conformal field theory, the entanglement entropy between the two regions separated by the…

统计力学 · 物理学 2023-04-12 Luca Capizzi , Viktor Eisler

We study dynamics of quantum entanglement in smooth global quenches with a finite rate, by computing the time evolution of entanglement entropy in 1 + 1 dimensional free scalar theory with time-dependent masses which start from a nonzero…

高能物理 - 理论 · 物理学 2018-01-15 Mitsuhiro Nishida , Masahiro Nozaki , Yuji Sugimoto , Akio Tomiya

The relaxation of uniform quantum systems with finite-range interactions after a quench is generically driven by the ballistic propagation of long-lived quasi-particle excitations triggered by a sufficiently small quench. Here we…

量子气体 · 物理学 2018-02-07 Irénée Frérot , Piero Naldesi , Tommaso Roscilde

By means of the time-dependent density matrix renormalization group algorithm we study the zero-temperature dynamics of the Von Neumann entropy of a block of spins in a Heisenberg chain after a sudden quench in the anisotropy parameter. In…

介观与纳米尺度物理 · 物理学 2011-02-16 G. De Chiara , S. Montangero , P. Calabrese , R. Fazio

In this paper I propose a branch point twist field approach to computing a temporal entropy, that is, an entanglement measure across different time regions, as opposed to the usual spacial measures. I discuss how the shift to…

高能物理 - 理论 · 物理学 2026-03-24 Olalla A. Castro-Alvaredo

We establish a general scaling law for the entanglement of a large class of ground states and dynamically evolving states of quantum spin chains: we show that the geometric entropy of a distinguished block saturates, and hence follows an…

量子物理 · 物理学 2009-11-13 Jens Eisert , Tobias J. Osborne

We study the time evolution of the entanglement entropy in the short and long-range coupled harmonic oscillators that have well-defined continuum limit field theories. We first introduce a method to calculate the entanglement evolution in…

统计力学 · 物理学 2015-03-30 M. Ghasemi Nezhadhaghighi , M. A. Rajabpour

We consider quantum quenches in an integrable quantum chain with tuneable-integrability-breaking interactions. In the case where these interactions are weak, we demonstrate that at intermediate times after the quench local observables relax…

统计力学 · 物理学 2014-04-23 F. H. L. Essler , S. Kehrein , S. R. Manmana , N. J. Robinson

We study the out-of-equilibrium time evolution after a local quench connecting two anisotropic spin-1/2 XXZ Heisenberg open chains via an impurity bond. The dynamics is obtained by means of the adaptive time-dependent density-matrix…

统计力学 · 物理学 2013-04-11 Mario Collura , Pasquale Calabrese

We consider global quantum quenches, a protocol when a continuous field theoretic system in the ground state is driven by a homogeneous time-dependent external interaction. When the typical inverse time scale of the interaction is much…

高能物理 - 理论 · 物理学 2020-04-13 Anatoly Dymarsky , Michael Smolkin
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